-7 , -4 , -1 , 2

The five-number summary is a descriptive statistic that provides information about a set of observations. It consists of the following statistics:

1. Minimum (Min) – the smallest observation

2. Maximum (Max) – the largest observation

3. Median M – the middle term

4. First Quartile Q1 – the middle term of values below the median

5. Third Quartile Q3 – the middle term of values above the median

Arrange the terms in ascending order.

-7,-4,-1,2

The minimum value is the smallest value in the arranged data set.

-7

The maximum value is the largest value in the arranged data set.

2

The median is the middle term in the arranged data set. In the case of an even number of terms, the median is the average of the two middle terms.

-4-12

Remove parentheses.

-4-12

Subtract 1 from -4.

-52

Move the negative in front of the fraction.

-52

Convert the median -52 to decimal.

-2.5

-2.5

The lower half of data is the set below the median.

-7,-4

The median for the lower half of data -7,-4 is the lower or first quartile. In this case, the first quartile is -5.5.

The median is the middle term in the arranged data set. In the case of an even number of terms, the median is the average of the two middle terms.

-7-42

Remove parentheses.

-7-42

Subtract 4 from -7.

-112

Move the negative in front of the fraction.

-112

Convert the median -112 to decimal.

-5.5

-5.5

-5.5

The upper half of data is the set above the median.

-1,2

The median for the upper half of data -1,2 is the upper or third quartile. In this case, the third quartile is 0.5.

The median is the middle term in the arranged data set. In the case of an even number of terms, the median is the average of the two middle terms.

-1+22

Remove parentheses.

-1+22

Add -1 and 2.

12

Convert the median 12 to decimal.

0.5

0.5

0.5

The five most important sample values are sample minimum, sample maximum, median, lower quartile, and upper quartile.

Min=-7

Max=2

M=-2.5

Q1=-5.5

Q3=0.5

Find the Five Number Summary -7 , -4 , -1 , 2